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Finding the Fourth Proportional to 6,605.16, 9,114.24 and 3,772.92

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Solution

The fourth proportional to 6,605.16, 9,114.24 and 3,772.92 is: 5,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.16 : 9,114.24 = 3,772.92 : x
  2. Step 2: Convert to fraction form
    6,605.16/9,114.24 = 3,772.92/x
  3. Step 3: Cross multiply
    6,605.16x = 9,114.24 × 3,772.92
  4. Step 4: Simplify right side
    6,605.16x = 34,387,298.38
  5. Step 5: Solve for x
    x = 34,387,298.38/6,605.16
  6. Step 6: Final answer
    x = 5,206.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.